KCET · Maths · Mathematical Reasoning
The negation of \(p \rightarrow(\sim p \vee q)\) is
- A \(p \vee(p \vee \sim q)\)
- B \(p \rightarrow \sim(p \vee q)\)
- C \(p \rightarrow q\)
- D \(p \wedge \sim q\)
Answer & Solution
Correct Answer
(D) \(p \wedge \sim q\)
Step-by-step Solution
Detailed explanation
Here, we observe that the truth value of column \(\sim[p \rightarrow(\sim p \vee q)]\) and \((p \wedge \sim q)\) are same. Hence,
\(
-[p \rightarrow(-p \vee q)]=(p \wedge-q)
\)
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